The radius of the earth $R_e$ and the acceleration due to gravity at its surface is g. The work required to rising a body of mass m to height h from the surface of the earth will be

Question

$$(a)\;\frac{mgh}{\bigg(1+\large\frac{h}{R_e}\bigg)} \quad (b)\;\frac{mgh}{\bigg(1+\large\frac{h}{R_e}\bigg)^2} \quad (c)\;\frac{mgh}{\bigg(1-\large\frac{h}{R_e}\bigg)} \quad (d)\;\frac{mg}{\bigg(1+\large\frac{h}{R_e}\bigg)}$$